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Finding the Fourth Proportional to 9,115.29, 12,580.11 and 5,757.94

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Solution

The fourth proportional to 9,115.29, 12,580.11 and 5,757.94 is: 7,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.29 : 12,580.11 = 5,757.94 : x
  2. Step 2: Convert to fraction form
    9,115.29/12,580.11 = 5,757.94/x
  3. Step 3: Cross multiply
    9,115.29x = 12,580.11 × 5,757.94
  4. Step 4: Simplify right side
    9,115.29x = 72,435,502.18
  5. Step 5: Solve for x
    x = 72,435,502.18/9,115.29
  6. Step 6: Final answer
    x = 7,946.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.